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Safety is an essential requirement for reinforcement learning systems. The newly emerging framework of robust constrained Markov decision processes allows learning policies that satisfy long-term constraints while providing guarantees under…

Machine Learning · Computer Science 2025-12-19 David M. Bossens , Atsushi Nitanda

We study an online caching problem in which requests can be served by a local cache to avoid retrieval costs from a remote server. The cache can update its state after a batch of requests and store an arbitrarily small fraction of each…

Machine Learning · Computer Science 2023-06-07 T. Si Salem , G. Neglia , S. Ioannidis

In a recent series of papers it has been established that variants of Gradient Descent/Ascent and Mirror Descent exhibit last iterate convergence in convex-concave zero-sum games. Specifically, \cite{DISZ17, LiangS18} show last iterate…

Machine Learning · Computer Science 2025-09-30 Qi Lei , Sai Ganesh Nagarajan , Ioannis Panageas , Xiao Wang

Scale-invariance in games has recently emerged as a widely valued desirable property. Yet, almost all fast convergence guarantees in learning in games require prior knowledge of the utility scale. To address this, we develop learning…

Computer Science and Game Theory · Computer Science 2026-02-13 Taira Tsuchiya , Haipeng Luo , Shinji Ito

The off-policy learning paradigm allows for recommender systems and general ranking applications to be framed as decision-making problems, where we aim to learn decision policies that optimize an unbiased offline estimate of an online…

Machine Learning · Computer Science 2024-08-15 Shashank Gupta , Olivier Jeunen , Harrie Oosterhuis , Maarten de Rijke

In offline imitation learning (IL), we generally assume only a handful of expert trajectories and a supplementary offline dataset from suboptimal behaviors to learn the expert policy. While it is now common to minimize the divergence…

Machine Learning · Computer Science 2024-01-19 Hee-Jun Ahn , Seong-Woong Shim , Byung-Jun Lee

We consider an online revenue maximization problem over a finite time horizon subject to lower and upper bounds on cost. At each period, an agent receives a context vector sampled i.i.d. from an unknown distribution and needs to make a…

Machine Learning · Computer Science 2021-04-21 Alfonso Lobos , Paul Grigas , Zheng Wen

In reinforcement learning (RL), offline learning decoupled learning from data collection and is useful in dealing with exploration-exploitation tradeoff and enables data reuse in many applications. In this work, we study two offline…

Machine Learning · Computer Science 2022-02-08 Jing Dong , Xin T. Tong

We consider the problem of minimization of a convex function on a simple set with convex non-smooth inequality constraint and describe first-order methods to solve such problems in different situations: smooth or non-smooth objective…

Optimization and Control · Mathematics 2018-01-30 Anastasia Bayandina , Pavel Dvurechensky , Alexander Gasnikov , Fedor Stonyakin , Alexander Titov

Diffusion policies have achieved great success in online reinforcement learning (RL) due to their strong expressive capacity. However, the inference of diffusion policy models relies on a slow iterative sampling process, which limits their…

Machine Learning · Computer Science 2025-10-17 Tianyi Chen , Haitong Ma , Na Li , Kai Wang , Bo Dai

Stochastically Extended Adversarial (SEA) model is introduced by Sachs et al. [2022] as an interpolation between stochastic and adversarial online convex optimization. Under the smoothness condition, they demonstrate that the expected…

Machine Learning · Computer Science 2024-03-19 Sijia Chen , Yu-Jie Zhang , Wei-Wei Tu , Peng Zhao , Lijun Zhang

Improving sample efficiency has been a longstanding goal in reinforcement learning. This paper proposes $\mathtt{VRMPO}$ algorithm: a sample efficient policy gradient method with stochastic mirror descent. In $\mathtt{VRMPO}$, a novel…

Machine Learning · Computer Science 2022-02-10 Long Yang , Yu Zhang , Gang Zheng , Qian Zheng , Pengfei Li , Jianhang Huang , Jun Wen , Gang Pan

Model-based offline reinforcement learning (RL) aims to find highly rewarding policy, by leveraging a previously collected static dataset and a dynamics model. While the dynamics model learned through reuse of the static dataset, its…

Machine Learning · Computer Science 2022-11-01 Kaiyang Guo , Yunfeng Shao , Yanhui Geng

This paper is concerned with multi-agent optimization problem. A distributed randomized gradient-free mirror descent (DRGFMD) method is developed by introducing a randomized gradient-free oracle in the mirror descent scheme where the…

Optimization and Control · Mathematics 2019-03-12 Zhan Yu , Daniel W. C. Ho , Deming Yuan

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

Machine Learning · Computer Science 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

This work addresses decentralized online optimization in non-stationary environments. A network of agents aim to track the minimizer of a global time-varying convex function. The minimizer evolves according to a known dynamics corrupted by…

Optimization and Control · Mathematics 2016-09-12 Shahin Shahrampour , Ali Jadbabaie

We propose Banker-OMD, a novel framework generalizing the classical Online Mirror Descent (OMD) technique in online learning algorithm design. Banker-OMD allows algorithms to robustly handle delayed feedback, and offers a general…

Machine Learning · Computer Science 2023-01-27 Jiatai Huang , Longbo Huang

This paper addresses the problem of approximating an unknown probability distribution with density $f$ -- which can only be evaluated up to an unknown scaling factor -- with the help of a sequential algorithm that produces at each iteration…

Statistics Theory · Mathematics 2024-09-23 Pascal Bianchi , Bernard Delyon , Victor Priser , François Portier

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

Machine Learning · Computer Science 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

In the field of online sequential decision-making, we address the problem with delays utilizing the framework of online convex optimization (OCO), where the feedback of a decision can arrive with an unknown delay. Unlike previous research…

Machine Learning · Computer Science 2024-02-26 Ping Wu , Heyan Huang , Zhengyang Liu
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